What is the inverse of f(x)=2x^{-5/4} ?

The inverse of f(x)=2x^{-5/4} is \sqrt[5]{(16)/(x^4)}

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inverse of f(x)=2x^{-5/4}

inverse

f (x) = 2 x^{- \frac{5}{4}}

Solution steps

y = 2 x^{- \frac{5}{4}}

Replace

x

with

y

x = 2 y^{- \frac{5}{4}}

Solve for

y, x = 2 y^{- \frac{5}{4}}

y = 5 x (6 - x)

\frac{1}{4 s + 1}

f (x) = 2

2 (x - 1)^{3} + 7

f (x) = 0. 7^{x}

What is the inverse of f(x)=2x^{-5/4} ?
The inverse of f(x)=2x^{-5/4} is \sqrt[5]{(16)/(x^4)}